Tristan van der Vlugt
Published & Accepted Articles
- The Horizontal Direction,
In: Masahiro Shioya (ed.), Recent developments in axiomatic set theory, RIMS Kōkyūroku, Vol. 2315 (2025);
arXiv (if you want to search terms in the .pdf, I recommend the arXiv version).
- Cardinal Characteristics on Bounded Generalised Baire Spaces,
Annals of Pure and Applied Logic, 176:7 (2025), article 103582, ±50 pages;
arXiv.
- Separating Many Localisation Cardinals on the Generalised Baire Space,
the Journal of Symbolic Logic 89:3 (2024), 1212–1231;
arXiv (outdated, does not include the last section).
Preprints & In Preparation
- Subseries Numbers for Convergent Subseries, preprint, submitted
- The Meagre Ideal for Singular Higher Baire Spaces, in preparation, joint work with Hayashi Yusuke
- Higher Evasion and Prediction, in preparation, joint work with Takashi Yamazoe
- How many infinite subsets to make all series diverge to infinity?, in preparation, joint work with Will Brian
- Higher Closed Null Ideals, in preparation, joint work with Adam Marton, Jaroslav Šupina and Miroslav Repický
Theses
- Doctoral dissertation: "Higher Baire Spaces: Cardinal Characteristics, Higher Reals & Bounded Spaces", 2024,
written under supervision of Jörg Brendle (Kobe University) and Benedikt Löwe (Universität Hamburg).
- Master's thesis: "Rearrangement and Subseries Numbers", 2019,
written under supervision of Jörg Brendle (Kobe University) and Jaap van Oosten (Utrecht University).
- Bachelor's thesis: "Computation of the Size of the Fragment [∧,∨,¬¬]n of Intuitionistic Logic", 2015,
written under supervision of Gerard R. Renardel de Lavalette (University of Groningen).